Backward error bounds for polynomial eigenvalue problem solved by a Rayleigh-Ritz type contour integral-based eigensolver

DOI10.1016/j.aml.2019.106122OpenAlexW2987749646WikidataQ126828119 ScholiaQ126828119MaRDI QIDQ2187076

Hongjia Chen, Lei Du

Publication date: 2 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106122

zbMATH Keywords

contour integralbackward errorpolynomial eigenvalue problemSS-RR method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35) Packaged methods for numerical algorithms (65Y15) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Uses Software

• NLEVP

Cites Work

• Backward error and condition of polynomial eigenvalue problems
• Improving backward stability of Sakurai-Sugiura method with balancing technique in polynomial eigenvalue problem.
• A projection method for nonlinear eigenvalue problems using contour integrals
• NLEVP
• Backward Error of Polynomial Eigenproblems Solved by Linearization
• Backward error analysis for linearizations in heavily damped quadratic eigenvalue problem
• Matrix Polynomials

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